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arXiv 0807.0845math.DG
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二次齐次微分系统的对称性

Symmetry of Quadratic Homogeneous Differential Systems

Mehdi Nadjafikhah, Ali Mahdipour-Shirayeh

摘要:

本文研究了n元二次齐次一阶常微分方程组的对称群。为此,我们考虑点变换和切触变换的作用来表示相应的李代数。我们还找到了这些作用的独立微分不变式。

英文摘要:

In this paper, the symmetry group of a differential system of n quadratic homogeneous first order ODEs of n variables is studied. For this purpose, we consider the action of both point and contact transformations to signify the corresponding Lie algebras. We also find the independent differential invariants of these actions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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